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oai:docta.ucm.es:20.500.14352/648742023-08-10T16:22:53Zcom_20.500.14352_14col_20.500.14352_15

On a class of nonlinear degenerate parabolic equations Herrero, Miguel A. 517.9 517.956.4 Existence uniqueness generalized solutions regularity propagation properties behavior of interfaces Ecuaciones diferenciales 1202.07 Ecuaciones en Diferencias The paper is a nice brief review of fundamental results about the initial value problem for one-dimensional nonlinear degenerate parabolic equations of "porous media'' type: ut=[φ(ux)]x, x∈R, t>0, with φ continuous, nondecreasing, φ(0)=0, |φ(s)|→∞ as |s|→∞. The results concern existence, uniqueness and regularity of solutions with initial data u0 in L2 (u0 not necessarily of one sign). When u0≥0 has compact support, regularity and growth results of the interfaces demarcating the compact support of the solution are also described. Depto. de Análisis Matemático y Matemática Aplicada Fac. de Ciencias Matemáticas TRUE pub 2023-06-21T02:06:38Z 2023-06-21T02:06:38Z 1982 journal article https://hdl.handle.net/20.500.14352/64874 0032-5155 eng restricted access application/pdf Sociedade Portuguesa de Matematica